Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

DOI10.1017/S0308210515000761zbMath1432.46013arXiv1307.5466OpenAlexW3099818431MaRDI QIDQ3178841

Bohumír Opic, Amiran Gogatishvili, António M. Caetano

Publication date: 20 December 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5466

zbMATH Keywords

Besov spacecompactnessLorentz spaceabsolute continuity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach lattices (46B42) Compactness in Banach (or normed) spaces (46B50)

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